Let be a function such that

Evaluate the integral .

**Solution**

We multiply the given equation by . Thus,

Let and .

We now deal with the first integral:

As for the second integral we have:

Hence,

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Let be a function such that

Evaluate the integral .

**Solution**

We multiply the given equation by . Thus,

Let and .

We now deal with the first integral:

As for the second integral we have:

Hence,